Prices have already gone up because of the wild weather. Everyone except minimum wage workers received a cost-of-living increase at the beginning of January, as well as a Christmas bonus in December. It is only fair to give an increase to minimum wage workers, as well, to allow them to catch up to rising prices, as well.
Raising the minimum wage doesn’t have near the effect on prices as the increases and bonuses given to the people at the top - that’s where you see the really high numbers that someone - meaning the customer - has to cover, by means of price increases. And you can bet your last paycheque that nobody in management is going to go without his raise and Christmas bonus just so prices can stay the same this year.